Robust control of a class of neural networks with bounded uncertainties and time-varying delays

被引:12
作者
Cheng, Chao-Jung [1 ]
机构
[1] Kun Shan Univ, Dept Informat Engn, Tainan 710, Taiwan
关键词
variable structure control; Cohen-Grossberg neural networks; cellular neural networks; Hopfield neural networks;
D O I
10.1016/j.camwa.2008.03.012
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper investigates the robust control problem for a class of neural networks subject to bounded uncertainties and time-varying delays. A memoryless decentralized variable structure control law with dead-zone input for guaranteeing global asymptotical system stability is derived. The results demonstrate that the derived control law does not restrict the derivative of the time-varying delays even if dead-zone nonlinearity occurs in the control input. Such a control law can be used to stabilize Cohen-Grossberg neural networks, cellular neural networks and Hopfield neural networks; all of which have bounded uncertainties and time-varying delays. Two examples are provided to illustrate the effectiveness and validity of the proposed control scheme. (c) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1245 / 1254
页数:10
相关论文
共 34 条
[1]  
Apostolou N, 1999, INT J CIRC THEOR APP, V27, P331, DOI 10.1002/(SICI)1097-007X(199905/06)27:3<331::AID-CTA50>3.0.CO
[2]  
2-8
[3]   Global stability conditions for delayed CNNs [J].
Cao, J. .
IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 2001, 48 (11) :1330-1333
[4]  
CARPENTER MC, 1987, SCIENCE, V37, P51
[5]   Global robust stability of interval cellular neural networks with time-varying delays [J].
Chen, AP ;
Cao, JD ;
Huang, LH .
CHAOS SOLITONS & FRACTALS, 2005, 23 (03) :787-799
[6]   Synchronization of neural networks by decentralized feedback control [J].
Cheng, CJ ;
Liao, TL ;
Yan, JJ ;
Hwang, CC .
PHYSICS LETTERS A, 2005, 338 (01) :28-35
[7]  
CHENG CJ, MATH COMPUT IN PRESS
[8]   CELLULAR NEURAL NETWORKS - APPLICATIONS [J].
CHUA, LO ;
YANG, L .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1988, 35 (10) :1273-1290
[9]   CELLULAR NEURAL NETWORKS - THEORY [J].
CHUA, LO ;
YANG, L .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1988, 35 (10) :1257-1272
[10]   ABSOLUTE STABILITY OF GLOBAL PATTERN-FORMATION AND PARALLEL MEMORY STORAGE BY COMPETITIVE NEURAL NETWORKS [J].
COHEN, MA ;
GROSSBERG, S .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS, 1983, 13 (05) :815-826